Two Models for Time-Domain Simulation of Hybrid Magnetic Bearing’s Characteristics

Wajnert, Dawid; Tomczuk, B.

doi:10.3390/s22041567

Cited by 3 publications

(2 citation statements)

References 18 publications

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“…The second type of dynamic simulation model is based on PDEs that describe the motion of the rotor and the voltage drop across windings, while the magnetic force and flux linkage are calculated from the magnetic equivalent circuit (MEC) [ 12 , 13 ]. The MEC of a magnetic bearing can incorporate the nonlinear characteristics of the magnetic material as well as leakage and fringing fluxes [ 14 ].…”

Section: Introductionmentioning

confidence: 99%

“…There are two variants of this dynamic simulation model. For the first one—named a field-circuit directly coupled MEC—the equations for the magnetic equivalent circuit are solved at every simulation step of the solution for the PDEs [ 13 ]. For the second variant—named a field-circuit indirectly coupled MEC—quantities like magnetic force and flux linkages are calculated beforehand, and they are included in the simulation model as look-up tables.…”

Section: Introductionmentioning

confidence: 99%

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Simulations of Transients in a Four-Pole Magnetic Bearing with Permanent Magnets

Wajnert,

Tomczuk

2024

Sensors

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This paper presents the design of and transient time simulations for a four-pole magnetic bearing with permanent magnets. The usage of permanent magnets reduces the consumption of electric energy in comparison to a traditional active magnetic bearing. Permanent magnets are installed in the yoke of the stator core to limit the cross-coupling of the magnetic flux generated by the windings. The first part of this paper presents the design of the magnetic bearing and its finite-element model, while the second part describes the field-circuit indirectly coupled finite-element model for the transient time simulation. The presented simulation model was used to calculate the transient response for the rotor lifting from the starting position, the step change in the rotor position and the change in the rotor position under an external impact force applied along the y-axis.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Simulations of Transients in a Four-Pole Magnetic Bearing with Permanent Magnets

Wajnert,

Tomczuk

2024

Sensors

Self Cite

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A hybrid twin based on machine learning enhanced reduced order model for real-time simulation of magnetic bearings

Ghnatios,

Rodriguez,

Tomezyk

et al. 2024

Adv. Model. and Simul. in Eng. Sci.

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The simulation of magnetic bearings involves highly non-linear physics, with high dependency on the input variation. Moreover, such a simulation is time consuming and can’t run, within realistic computation time for control purposes, when using classical computation methods. On the other hand, classical model reduction techniques fail to achieve the required precision within the allowed computation window. To address this complexity, this work proposes a combination of physics-based computing methods, model reduction techniques and machine learning algorithms, to tackle the requirements. The physical model used to represent the magnetic bearing is the classical Cauer Ladder Network method, while the model reduction technique is applied on the error of the physical model’s solution. Later on, in the latent space a machine learning algorithm is used to predict the evolution of the correction in the latent space. The results show an improvement of the solution without scarifying the computation time. The solution is computed in almost real-time (few milliseconds), and compared to the finite element reference solution.

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Modeling, Design and Suspension Force Analysis of a Novel AC Six-Pole Heteropolar Hybrid Magnetic Bearing

2023

Applied Sciences

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To improve the radial suspension force of heteropolar hybrid magnetic bearing (HMB), a novel AC six-pole heteropolar HMB is proposed. Firstly, the structure, magnetic circuit, and suspension force generation principle are introduced and analyzed. Secondly, the equivalent magnetic circuits are established. The mathematical models of magnetic resistances, air gap magnetic fluxes, and levitation force are derived by node magnetomotive force (MMF) method. The main parameters of prototype heteropolar HMB, such as outer and inner air-gap length, winding turns, and permanent magnets, are designed. Then, the analysis model is established by MagNet 3D. The magnetic circuit, air-gap flux density, suspension mechanism, force-current relationships, force-displacement relationships, and force coupling characteristics are analyzed and calculated. Finally, the experimental system was built to test the levitation force and levitation displacement waveforms. The research results have shown that the proposed novel six-pole heteropolar HMB has a reasonable structure and magnetic circuit. The design method is also proven to be correct. Furthermore, it is compared with the traditional heteropolar six-pole HMB, the maximum suspension forces in the X and Y directions are increased by 1.96 and 2.02 times, respectively.

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Two Models for Time-Domain Simulation of Hybrid Magnetic Bearing’s Characteristics

Cited by 3 publications

References 18 publications

Simulations of Transients in a Four-Pole Magnetic Bearing with Permanent Magnets

Simulations of Transients in a Four-Pole Magnetic Bearing with Permanent Magnets

A hybrid twin based on machine learning enhanced reduced order model for real-time simulation of magnetic bearings

Modeling, Design and Suspension Force Analysis of a Novel AC Six-Pole Heteropolar Hybrid Magnetic Bearing

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